In a large measuring cup, dissolve Splenda in water.
In a food processor or blender, puree berries until smooth, adding sweetened water gradually. Pour in cream, and pulse until blended.
Pour mixture into ice cream machine and let freeze until mixture is very thick.Eat some right away! Then freeze the rest.
As with most homemade frozen desserts, this one freezes very solid. Using the microwave to defrost it some will do the trick.
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